Iteration of rational functions : complex analytic dynamical systems
Alan F. Beardon.
New York : Springer-Verlag, ©1991.
xvi, 280 págs. : ilustraciones ; 25 cm.
Serie: Graduate texts in mathematics ; 132
ISBN: 0387975896 (New York), 3540975896 (Berlin), 0387951512 (pbk.)
Incluye referencias bibliográficas (p. [273]-277) e índices.
Reseña: MathSciNet, 92j:30026
Contenido
- 1. Examples
- 2. Rational maps
- 3. The Fatou and Julia sets
- 4. Properties of the Julia set
- 5. The structure of the Fatou set
- 6. Periodic points
- 7. Forward invariant components
- 8. The no wandering domains theorem
- 9. Critical points
- 10. Hausdorff dimension
- 11. Examples.
